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基于模糊结构元的模糊数直觉模糊多准则决策方法
引用本文:汪新凡,王坚强,杨小娟.基于模糊结构元的模糊数直觉模糊多准则决策方法[J].控制与决策,2012,27(12):1793-1799.
作者姓名:汪新凡  王坚强  杨小娟
作者单位:1. 湖南工业大学理学院,湖南株洲412007;中南大学商学院,长沙410083
2. 中南大学商学院,长沙,410083
3. 湖南工业大学理学院,湖南株洲,412007
基金项目:国家自然科学基金项目(71271218,70921001,61174075);教育部人文社科基金项目(10YJC630338,12YJA630114);湖南省社会科学基金项目(09YBB120);湖南省自然科学基金项目(11JJ6068)
摘    要:针对准则权重信息不完全确定的模糊数直觉模糊多准则决策问题,采用模糊结构元方法进行处理.基于模糊数直觉模糊集的模糊结构元表示、模糊数比较和排序的模糊结构元方法以及直觉模糊数的记分函数和距离测度,定义了模糊数直觉模糊数的记分函数和距离测度,进而提出两种准则权重信息不完全确定而准则值为模糊数直觉模糊数的多准则决策方法:记分函数法和逼近理想解排序(TOPSIS)法.实例分析表明了这两种方法的可行性和有效性.

关 键 词:多准则决策  模糊数直觉模糊集  模糊结构元  记分函数  距离测度  逼近理想解排序
收稿时间:2011/8/23 0:00:00
修稿时间:2012/1/11 0:00:00

Approach to fuzzy number intuitionistic fuzzy multi-criteria decision making based on fuzzy structured element
WANG Xin-fan,WANG Jian-qiang,YANG Xiao-juan.Approach to fuzzy number intuitionistic fuzzy multi-criteria decision making based on fuzzy structured element[J].Control and Decision,2012,27(12):1793-1799.
Authors:WANG Xin-fan  WANG Jian-qiang  YANG Xiao-juan
Affiliation:1(1.School of Science,Hu’nan University of Technology,Zhuzhou 412007,China;2.School of Business,Central South University,Changsha 410083,China)
Abstract:

A fuzzy structured element method is applied to deal with fuzzy number intuitionistic fuzzy multi-criteria decision
making problems with incomplete certain information on criteria’s weights. Based on the representation of fuzzy structured
element of fuzzy number intuitionistic fuzzy set, the method of fuzzy structured element of fuzzy numbers’ comparison
and sequencing, and the score function and distance measure of intuitionistic fuzzy numbers, the score function and
distance measure of fuzzy number intuitionistic fuzzy numbers are defined. Furthermore, two multi-criteria decision making
approaches are proposed, such as the score function method, and the technique for order preference by similarity to ideal
solution(TOPSIS) method, in which the criteria values are fuzzy number intuitionistic fuzzy numbers, and the criteria weight
information is incompletely certain. Finally, an example is given to show the feasibility and effectiveness of the proposed
methods.

Keywords:

multi-criteria decision making| fuzzy number intuitionistic fuzzy set| fuzzy structured element| score function| distance measure| technique for order preference by similarity to ideal solution(TOPSIS)

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